0
Need math homework help x2 plus y2 plus 10x plus 2y plus 22 equals 0 i am looking for the graph of the equation is a circle with a center and the radius?
We have:
x^2 + y^2 + 10x + 2y + 22 = 0
We want to find the standard equation for a circle, which is:
(x - a)^2 + (y - b)^2 = r^2
Where (a,b) is the center of the circle, and the radius is r.
Regroup with like variables, and move the constant term to the right:
x^2 + 10x + y^2 + 2y = -22
complete the square on both quadratics on the left:
x^2 + 10x + c + y^2 + 2y + d = -22 + c + d
find c, such that 2 * (c^(1/2)) = 10 and find d, such that 2 * (d^(1/2)) = 2
c = 25 d = 1
x^2 + 10x + 25 + y^2 + 2y + 1 = -22 + 25 + 1
(x + 5)^2 + (y + 1)^2 = 4
We now have the standard equation for a circle, which gives us a center at:
(-5, -1)
and which has a radius of 2.
What else can I help you with?
What is the standard form of an equation where the poin 3-6 is on a circle whose orgin is the center?
9
The center of a circle is located at c(3-13). The x-axis is tangent to the circle at (30). Find the equation of the circle?
Equation of the circle: (x-3)^2 +( y+13)^2 = 169
Where is the center of the circle given by the equation x - 3 squared plus y plus 2 squared equals 9?
The center of the circle given by the equation (x - 3)2 plus (y + 2)2 = 9 is (3,-2).
How do you find the general form equation of a circle?
There are probably several ways to approach it; one general equation for the circle is: (x - a)2 + (y - b)2 = r2 This describes a circle with center at coordinates (a, b), and with a radius of r.
What is the equation of a circle with center 5 and 3 and radius 7?
The equation of a circle can be written in the form (x-h)2 + (y - k)2 = r2, where r is the radius, and (h,k) is the center. So for your example, the equation would be: (x- 5)2 + (y - 3)2 = 72
How do you write an equation for a circle with a center?
Equation of any circle, with any radius, and its center at any point: [ x - (x-coordinate of the center) ]2 + [ y - (y-coordinate of the center) ]2 = (radius of the circle)2
What is the standard form of an equation where the poin 3-6 is on a circle whose orgin is the center?
9
What is the equation of the circle with center 2 9 and radius 7?
depends on the equation.
If a circle is centered at the origin and the length of its radius is 6 What is the circle's equation?
The general equation of a circle is given by the formula(x - h)2 + (x - k)2 = r2, where (h, k) is the center of the circle, and r its radius.Since the center of the circle is (0, 0), the equation reduces tox2 + y2 = r2So that the equation of our circle is x2 + y2 = 36.
What is the formula for the center of the circle?
The formula for the center of a circle is given by the coordinates ((h, k)) in the standard equation of a circle, which is ((x - h)^2 + (y - k)^2 = r^2). Here, ((h, k)) represents the center of the circle, and (r) is the radius. If the equation is presented in a different form, you can derive the center by rearranging the equation to match the standard form.
What is the equation for a circle with a center of (0 0) and a radius of 9?
The equation of the circle is: x^2 + y^2 = 81
How do you write an equation in standard form of a circle with a center and radius?
The standard equation of a circle, with center in (a,b) and radius r, is: (x-a)2 + (y-b)2 = r2
What is the equation of a circle whose center is at the origin and whose radius is 10?
The equation of circle is (x−h)^2+(y−k)^2 = r^2, where h,k is the center of circle and r is the radius of circle. so, according to question center is origin and radius is 10, therefore, equation of circle is x^2 + y^2 = 100
The equation below describes a circle. What are the coordinates of the center of the circle (x - 6)2 plus (y plus 5)2 152?
The equation of the circle is given by ((x - 6)^2 + (y + 5)^2 = 152). The general form of a circle's equation is ((x - h)^2 + (y - k)^2 = r^2), where ((h, k)) is the center and (r) is the radius. From the equation, the coordinates of the center of the circle are ((6, -5)).
What is the equation of the circle with center (2 -9) and radius 7?
Equation of circle: (x-2)^2 +(y+9)^2 = 49
What is the equation of the circle with center (-3.2 -2.1) and radius 4.3?
The equation of the circle is: (x+3.2)^2 +(y+2.1)^2 = 18.49
What is the general form of the equation of a circle with center a (ab) and the radius of length m?
The general form of the equation of a circle with center at the point ( (a, b) ) and a radius of length ( m ) is given by the equation ( (x - a)^2 + (y - b)^2 = m^2 ). Here, ( (x, y) ) represents any point on the circle. This equation expresses that the distance from any point on the circle to the center ( (a, b) ) is equal to the radius ( m ).
